Covariant functional Schrödinger formalism and application to the Hawking effect

Freese, Katherine; Hill, Christopher T.; Mueller, Mark T.

doi:10.1016/0550-3213(85)90161-0

Cited by 64 publications

(47 citation statements)

References 7 publications

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“…Alternatively, one can impose the boundary condition φ = 0 at the origin (corresponding to the presence of a "mirror"). In this case the evolution along the right part of constant Rindler time (called t) hypersurfaces is given by the quantum state (denoting the Fourier transform of the scalar field by φ(k)) [4] …”

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confidence: 99%

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Hawking radiation from decoherence

Kiefer¹

2001

Class. Quantum Grav.

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It is argued that the thermal nature of Hawking radiation arises solely due to decoherence. Thereby any information-loss paradox is avoided because for closed systems pure states remain pure. The discussion is performed for a massless scalar field in the background of a Schwarzschild black hole, but the arguments should hold in general. The result is also compared to and contrasted with the situation in inflationary cosmology.

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confidence: 99%

“…One can mimic this situation by considering for simplicity a hypersurface of constant t in an eternal hole. The Minkowski vacuum Ψ M along such a surface connecting regions III and I in the Kruskal diagram can be written for t = 0 as Ψ M = k ψ k with [4] …”

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confidence: 99%

Hawking radiation from decoherence

Kiefer¹

2001

Class. Quantum Grav.

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“…(26) The quantum state of the charged particle obeys the functional Schrödinger equation [23] i ∂Φ(t, x) ∂t = H(t)Φ(t, x).…”

Section: Fock Space In Scalar Qedmentioning

confidence: 99%

Effective Action and Schwinger Pair Production in Scalar QED

Lee¹

2009

J. Korean Phy. Soc.

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Some astrophysical objects are supposed to have very strong electromagnetic fields above the critical strength. Quantum fluctuations due to strong electromagnetic fields modify the Maxwell theory and particularly electric fields make the vacuum unstable against pair production of charged particles. We study the strong field effect such as the effective action and the Schwinger pair production in scalar QED.

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“…There have been a number of works on the use of Schrödinger picture field theory in inflationary settings [8][9][10], so we just describe the salient points in this section.…”

Section: Jhep11(2014)093mentioning

confidence: 99%

Cosmological consequences of initial state entanglement

Albrecht

Bolis

Holman

2014

J. High Energ. Phys.

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Abstract:We explore the cosmological consequences of having the fluctuations of the inflaton field entangled with those of another scalar, within the context of a toy model consisting of non-interacting, minimally coupled scalars in a fixed de Sitter background. We find that despite the lack of interactions in the Lagrangian, the initial state entanglement modifies the mode equation for the inflaton fluctuations and thus can induce changes in cosmological observables. These effects are examined for a variety of choices of masses and we find that they can be consistent with the requirement that the back reaction of the modified state not affect the inflationary phase while still giving rise to observable effects in the power spectrum. Our results suggest that more realistic extensions of the ideas explored here beyond the simple toy model may lead to interesting observable effects.

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Covariant functional Schrödinger formalism and application to the Hawking effect

Cited by 64 publications

References 7 publications

Hawking radiation from decoherence

Hawking radiation from decoherence

Effective Action and Schwinger Pair Production in Scalar QED

Cosmological consequences of initial state entanglement

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